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14342404000 = 2553101131271
BaseRepresentation
bin11010101101101111…
…11011011110100000
31101000112202121120011
431112313323132200
5213333123412000
610331103254304
71015263264631
oct152667733640
941015677504
1014342404000
11609aa05451
1229432aa394
1314775357b2
149a0b67888
1558e21b2ba
hex356dfb7a0

14342404000 has 192 divisors, whose sum is σ = 35992180224. Its totient is φ = 5616000000.

The previous prime is 14342403979. The next prime is 14342404007. The reversal of 14342404000 is 40424341.

It is not an unprimeable number, because it can be changed into a prime (14342404007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52923865 + ... + 52924135.

It is an arithmetic number, because the mean of its divisors is an integer number (187459272).

Almost surely, 214342404000 is an apocalyptic number.

14342404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14342404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17996090112).

14342404000 is an abundant number, since it is smaller than the sum of its proper divisors (21649776224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14342404000 is a wasteful number, since it uses less digits than its factorization.

14342404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 14342404000 its reverse (40424341), we get a palindrome (14382828341).

The spelling of 14342404000 in words is "fourteen billion, three hundred forty-two million, four hundred four thousand".